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Finding the Fourth Proportional to 7,266.09, 10,900.26 and 3,106.14

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Solution

The fourth proportional to 7,266.09, 10,900.26 and 3,106.14 is: 4,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.09 : 10,900.26 = 3,106.14 : x
  2. Step 2: Convert to fraction form
    7,266.09/10,900.26 = 3,106.14/x
  3. Step 3: Cross multiply
    7,266.09x = 10,900.26 × 3,106.14
  4. Step 4: Simplify right side
    7,266.09x = 33,857,733.60
  5. Step 5: Solve for x
    x = 33,857,733.60/7,266.09
  6. Step 6: Final answer
    x = 4,659.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.